Intro to Probabilities

About 7% of men in the United States have some form of red-green color blindness.  Suppose we want to simulate randomly selecting 4 U.S. adult males to determine the probability that at least one is red-green color-blind.  Which of these are correct assignments of digits for this simulation?  

• 0-7 = color-blind, 8-9 = not color-blind

• 1-6 = color-blind, 7-10 = not color-blind

• 01-07 = color-blind, 08-99&00 = not color-blind 

• 00-10 = color-blind, 11-99 = not color-blind

Research on eating habits of families in a large city produced the following probabilities if a randomly selected household was asked “How often during the week do you have a vegetarian (meatless) main dish at dinnertime?” What is the probability that a randomly selected household never has a vegetarian main dish at dinnertime?

• 0.65

• 0.35

• 0

• 0.25

A basketball player makes 75% of his free throws. We want to estimate the probability that he makes 4 or more frees throws out of 5 attempts (we assume the shots are independent). To do this, we use the digits 1, 2, and 3 to correspond to making the free throw and the digit 4 to correspond to missing the free throw. If the table of random digits begins with the digits below, how many free throw does he hit in our first simulation of five shots?

19223 95034 58301

• 1

• 2

• 3

• 4

• 5

In a certain town, 60% of the households have broadband internet access, 30% have at least one high-definition television, and 20% have both. The proportion of households that have neither broadband internet nor high-definition television is:

• 0%.

• 10%.

• 30%.

• 80%.

• 90%.

What is the probability that the student chosen is left-handed or prefers to communicate with friends in person?

• 0.065

• 0.17

• 0.425

• 0.53

• 0.595

Choose the correct notation and then find the probabilities associated with randomly selecting a high school student who: Ate a banana and an apple at lunch.

• P(B|A) = 0.31

• undefined = 0.25

• undefined = 0.75

Choose the correct notation and then find the probabilities associated with randomly selecting a high school student who:

• undefined = 0.45
  

Choose the correct notation and then find the probabilities associated with randomly selecting a high school student who:

• undefined = 0.33

• undefined = 0.33
  

What is the probability of selecting a freshman who exercises regularly or eats 5 servings of fruits and vegetables each day? Round your answer to the nearest whole percent.

What is the probability of spinning green?

• 0

• 1/4

• 1/2

• 3/4